A Linear-Time Recognition Algorithm for P4-Reducible Graphs

نویسندگان

  • Beverly Jamison
  • Stephan Olariu
چکیده

The P,-reducible graphs are a natural generalization of the well-known class of cographs, with applications to scheduling, computational semantics, and clustering. More precisely, the Pa-reducible graphs are exactly the graphs none of whose vertices belong to more than one chordless path with three edges. A remarkable property of P,-reducible graphs is their unique tree representation up to isomorphism. In this paper we present a linear-time algorithm to recognize P,-reducible graphs and to construct their corresponding tree representation.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 145  شماره 

صفحات  -

تاریخ انتشار 1989